GCD of 545, 343, 444, 659 Calculator

Given Input numbers are 545, 343, 444, 659

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 545, 343, 444, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 343, 444, 659 is 1.

Therefore, GCD of numbers 545, 343, 444, 659 is 1

Given Input Data is 545, 343, 444, 659

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 545 is 5 x 109

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 659 is 659

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(545, 343) = 186935

GCD(545, 343) = ( 545 x 343 ) / 186935

GCD(545, 343) = 186935 / 186935

GCD(545, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 444

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

GCD(1, 444) = 444 / 444

GCD(1, 444) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 545, 343, 444, 659 is 1

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1. What is the GCD of 545, 343, 444, 659?

GCD of 545, 343, 444, 659 is 1

2. Where do I get the detailed procedure to find GCD of 545, 343, 444, 659?

You can find a detailed procedure to find GCD of 545, 343, 444, 659 on our page.

3. How to find GCD of 545, 343, 444, 659 on a calculator?

You can find the GCD of 545, 343, 444, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.